Dynamics of entanglement generation: (a) and (c) the evolution of the concurrence for different initial states |e,g,0,0〉and|g,g,1,0〉 , respectively; (b) and (d) the corresponding maximum entanglement max{C} for different γ. The red solid curve represents the entanglement between atoms, and the blue dashed curve is the entanglement between the cavity fields. For (a) and (c), γ=4. The other parameters are chosen as ω₁=ω₂=5,ω_a1=ω_a2=5,λ₁=λ₂=0.6,α₀=1,Ω=0,Γ=1.